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Finding the Fourth Proportional to 1,322.19, 1,824.20 and 880.16

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Solution

The fourth proportional to 1,322.19, 1,824.20 and 880.16 is: 1,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.19 : 1,824.20 = 880.16 : x
  2. Step 2: Convert to fraction form
    1,322.19/1,824.20 = 880.16/x
  3. Step 3: Cross multiply
    1,322.19x = 1,824.20 × 880.16
  4. Step 4: Simplify right side
    1,322.19x = 1,605,590.07
  5. Step 5: Solve for x
    x = 1,605,590.07/1,322.19
  6. Step 6: Final answer
    x = 1,214.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.